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w w ap eP m e tr .X w UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS for the guidance of teachers 0580 MATHEMATICS 0580/13 Paper 1 (Core), maximum raw mark 56 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners’ meeting before marking began, which would have considered the acceptability of alternative answers. Mark schemes must be read in conjunction with the question papers and the report on the examination. • Cambridge will not enter into discussions or correspondence in connection with these mark schemes. Cambridge is publishing the mark schemes for the May/June 2011 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses. om .c MARK SCHEME for the May/June 2011 question paper s er International General Certificate of Secondary Education Page 2 Mark Scheme: Teachers’ version IGCSE – May/June 2011 Syllabus 0580 Abbreviations cao correct answer only cso correct solution only dep dependent ft follow through after error isw ignore subsequent working oe or equivalent SC Special Case www without wrong working Qu. Answers Mark 10 073 1 13 + 20 − 2 = 31 1 32 1 3 1 14 30 or (0) 2:30 pm 1 June 4th oe 1 4 2y(x − 2z) 2 5 (a) < 1 (b) < 1 (x =) 3(y − 5) oe final answer 2 1 (a) (b) 2 (a) (b) 3 6 Part Marks Accept 20 seen with answer 31 B1 for y(2x − 4z) or 2(xy − 2yz) M1 for correct first move y−5= x or 3y = x + 15 3 M1 for their correct second move 7 (a) 0 1 (b) 2 1 − 2 1 1 Point marked at (1, −1) 1 9 (a) 21 1 (b) 27 1 10 10.7 or 10.69(..….) www 2 M1 for 11 7.94 or 7.937(…..) www 3 M2 for (12 2 − 9 2 ) or M1 for 122 = x2 + 92 oe or better 8 (a) (b) AC = cos 27 or better 12 © University of Cambridge International Examinations 2011 Paper 13 Page 3 Mark Scheme: Teachers’ version IGCSE – May/June 2011 12 (a) 1.646 × 107 1 (b) 3.32 × 10–2 2 36 1 Correct working 2 13 (a) (b) (0).55 1 250 2 67 1 (b) 0.00304 1 (c) 56.35 1 16 (x =) 5 (y =) −1 3 17 (a) Reflex 1 (b) 15 (a) (b) (i) Drawing of a trapezium 1 Paper 13 B1 for 0.0332 seen or 3.3 ×10−2 as answer or B1 for 3.32 × 10k M1 for M1 for 14 (a) Syllabus 0580 7 6 oe improper fraction 12 21 = 4 7 oe or visible cancelling M1 for 35 000 ÷ 140 or SC1 for figs 25 M1 for consistent multiplication and add/subtract as appropriate. A1 for 1 correct answer. Ignore labels and no arrows as long as a reasonable sketch. (ii) Trapezium 1 18 127.31 cao 3 M1 for 120 × 1.032 A1 for 127.308 If M0 award SC2 for 7.31 or 247.31 19 (a) 17 1 Allow −17 2 M1 for (−12 + −13 + −10 + 4 + 4 + −6) soi ÷ 6 (ii) −8 2 M1 for method of finding mid-value (iii) 4 1 (b) (i) −5.5 Straight ruled line from (08 10, 200) to (08 30, 900) 1 (b) 5 1 (c) 1.8 4 20 (a) M1 for total distance ÷ total time M1 for converting time to hours M1 for converting metres to km © University of Cambridge International Examinations 2011